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Mixing in incompressible flows: transport, dissipation, and their interplay

Published 1 Aug 2023 in math.AP | (2308.00358v1)

Abstract: In this survey, we address mixing from the point of view of partial differential equations, motivated by applications that arise in fluid dynamics. We give an account of optimal mixing, loss of regularity for transport equations, enhanced dissipation, and anomalous dissipation.

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